What is the Greatest Common Factor of 23954 and 23965?

Greatest common factor (GCF) of 23954 and 23965 is 1.

GCF(23954,23965) = 1

We will now calculate the prime factors of 23954 and 23965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23954 and 23965.

How to find the GCF of 23954 and 23965?

We will first find the prime factorization of 23954 and 23965. After we will calculate the factors of 23954 and 23965 and find the biggest common factor number .

Step-1: Prime Factorization of 23954

Prime factors of 23954 are 2, 7, 29, 59. Prime factorization of 23954 in exponential form is:

23954 = 2¹ × 7¹ × 29¹ × 59¹

Step-2: Prime Factorization of 23965

Prime factors of 23965 are 5, 4793. Prime factorization of 23965 in exponential form is:

23965 = 5¹ × 4793¹

Step-3: Factors of 23954

List of positive integer factors of 23954 that divides 23954 without a remainder.

1, 2, 7, 14, 29, 58, 59, 118, 203, 406, 413, 826, 1711, 3422, 11977

Step-4: Factors of 23965

List of positive integer factors of 23965 that divides 23954 without a remainder.

1, 5, 4793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23954 and 23965. The biggest common factor number is the GCF number.
So the greatest common factor 23954 and 23965 is 1.

Also check out the Least Common Multiple of 23954 and 23965